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The holographic representation of the entanglement entropy of four dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the…

High Energy Physics - Theory · Physics 2008-11-26 A. Schwimmer , S. Theisen

We calculate the statistical entropy of a scalar field on the background of (2+1)-dimensional de Sitter space without an artificial cutoff considering corrections to all orders in the Planck length from a generalized uncertainty principle…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yong-Wan Kim , Young-Jai Park

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

High Energy Physics - Theory · Physics 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. The static de Sitter can be considered as the conformal structure of the…

High Energy Physics - Theory · Physics 2011-07-19 Miao Li , Yi Pang

We discuss the computation of holographic entanglement entropy for interface conformal field theories. The fact that globally well defined Fefferman-Graham coordinates are difficult to construct makes the regularization of the holographic…

High Energy Physics - Theory · Physics 2017-03-22 Michael Gutperle , Andrea Trivella

We study the holographic duality between the reflected entropy and the entanglement wedge cross section with the first order correction. In the field theory side, we consider the reflected entropy for $\rho_{AB}^m$, where $\rho_{AB}$ is the…

High Energy Physics - Theory · Physics 2024-07-01 Hyun-Sik Jeong , Keun-Young Kim , Mitsuhiro Nishida

We study holographic entanglement entropy in spatially anisotropic field theory. We observe that for the background we consider in this paper, to a good approximation, the holographic entanglement entropy can be decomposed into two terms.…

High Energy Physics - Theory · Physics 2018-07-11 M. Rahimi , M. Ali-Akbari

It was shown in Dey and Roy (2012) that the near horizon limit of the 1/4 BPS threshold F-D$p$ (for $0\leq p \leq 5$, $p \neq 4$) bound state solutions of type II string theories give rise to space-time metrics endowed with Lifshitz scaling…

High Energy Physics - Theory · Physics 2015-06-11 Parijat Dey , Shibaji Roy

We evaluate reflected entropy in certain anisotropic boundary theories dual to nonrelativistic geometries using holography. It is proposed that this quantity is proportional to the minimal area of the entanglement wedge cross section. Using…

High Energy Physics - Theory · Physics 2025-01-23 Mohammad Javad Vasli , M. Reza Mohammadi Mozaffar , Komeil Babaei Velni , Mohammad Sahraei

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime…

High Energy Physics - Theory · Physics 2015-06-05 Robert C. Myers , Ajay Singh

The entanglement entropy associated with a spatial boundary in quantum field theory is UV divergent, with the leading term proportional to the area of the boundary. For a class of quantum states defined by a path integral, the…

High Energy Physics - Theory · Physics 2014-12-23 Joshua H. Cooperman , Markus A. Luty

We propose a holographic formalism for a timelike entanglement entropy in non-conformal theories. This pseudoentropy is a complex-valued measure of information, which, in holographic non-conformal theories, receives contributions from a set…

High Energy Physics - Theory · Physics 2024-04-03 Mir Afrasiar , Jaydeep Kumar Basak , Dimitrios Giataganas

According to Ryu and Takayanagi, the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We study this holographic geometrical method of…

High Energy Physics - Theory · Physics 2018-07-18 Pavel Krtous , Andrei Zelnikov

Recently, the reflected entropy is proposed in holographic approach to describe the entanglement of a bipartite quantum system in a mixed state, which is identified as the area of the reflected minimal surface inside the entanglement wedge.…

High Energy Physics - Theory · Physics 2022-02-08 Yi Ling , Peng Liu , Yuxuan Liu , Chao Niu , Zhuo-Yu Xian , Cheng-Yong Zhang

We consider the entanglement entropies in dS$_d$ sliced (A)dS$_{d+1}$ in the presence of a hard radial cutoff for $2\le d\le 6$. By considering a one parameter family of analytical solutions, parametrized by their turning point in the bulk…

High Energy Physics - Theory · Physics 2019-12-09 Sebastian Grieninger

We calculate the time evolution of entanglement entropy in two dimensional conformal field theory with a moving mirror. For a setup modeling Hawking radiation, we obtain a linear growth of entanglement entropy and show that this can be…

High Energy Physics - Theory · Physics 2021-02-17 Ibrahim Akal , Yuya Kusuki , Noburo Shiba , Tadashi Takayanagi , Zixia Wei

We formulate a version of the information paradox in de Sitter spacetime and show that it is solved by the emergence of entanglement islands in the context of the DS/dS correspondence; in particular, the entanglement entropy of a subregion…

High Energy Physics - Theory · Physics 2021-06-09 Hao Geng , Yasunori Nomura , Hao-Yu Sun

We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement…

High Energy Physics - Theory · Physics 2011-12-13 Jan de Boer , Manuela Kulaxizi , Andrei Parnachev

We propose a general formula for calculating the entanglement entropy in theories dual to higher derivative gravity where the Lagrangian is a contraction of Riemann tensors. Our formula consists of Wald's formula for the black hole entropy,…

High Energy Physics - Theory · Physics 2014-01-16 Xi Dong

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

High Energy Physics - Theory · Physics 2014-11-18 Shinsei Ryu , Tadashi Takayanagi